# Title: Domes over curves

## Speaker: Igor Pak, UCLA

## Date and time: 6pm (New York time), Tuesday, March 28, 2023

## Place: WWH1314 (room 1314 Warren Weaver Hall, 251 Mercer Street)

### ...and on Zoom, details on the seminar mailing list

A closed polygonal curve is called *integral* if it is comprised of unit
intervals. Kenyon's problem asks whether for every integral curve $γ$ in
$\mathbb{R}^3$, there is a *dome* over $γ$, i.e. whether $γ$ is a boundary of a
polyhedral surface whose faces are equilateral triangles with unit
edge lengths. I will survey both positive and negative results on the
subject.

Joint work with Alexey Glazyrin. The talk is aimed at a
general audience.